Abstract
<jats:p>It is assumed that the technological process of vibrating screens should have a mathematical description. A mathematical description is understood to mean mathematical dependencies that link the mechanical parameters of the movement of the working body of the vibrating screen with the main quality indicators of the technological process. At the same time, inelastic resistance and the perfect elasticity of the vibrating screen's support springs are not taken into account. This assumption is approximately correct in the case of steel coil springs. However, if rubber or cork gaskets are used, the damping is significant and can no longer be ignored. In this work, without taking into account free vibrations, we obtain the so-called steady state of forced vibrations, determined by the corresponding equation. Keywords: Vibrating screens, technological process, vibration, coil springs, centrifugal force, elastic support, dynamic coefficient, natural frequency.</jats:p>